How many delta-matroids are there?

DOI10.1016/j.ejc.2017.10.005zbMath1376.05031arXiv1609.08244OpenAlexW2525471128MaRDI QIDQ1686257

Dillon Mayhew, Steven D. Noble, Daryl Funk

Publication date: 21 December 2017

Published in: European Journal of Combinatorics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1609.08244

zbMATH Keywords

upper boundslower bounds

Mathematics Subject Classification ID

Matroids in convex geometry (realizations in the context of convex polytopes, convexity in combinatorial structures, etc.) (52B40) Combinatorial aspects of matroids and geometric lattices (05B35)

Related Items

Delta-matroids whose twist polynomials are monomials ⋮ Delta-matroids as subsystems of sequences of Higgs lifts

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the number of matroids
• The adjacency matroid of a graph
• Interlace polynomials for multimatroids and delta-matroids
• Spectra of graphs
• On the number of graphs without 4-cycles
• Representability of \(\bigtriangleup\)-matroids over \(GF(2)\)
• The asymptotic number of geometries
• Counting sum-free sets in abelian groups
• On the asymptotic proportion of connected matroids
• An upper bound for the number of matroids
• Maps and \(\Delta\)-matroids
• Greedy algorithm and symmetric matroids
• Lower bounds for constant weight codes
• On the Abstract Properties of Linear Dependence
• Nullity and Loop Complementation for Delta-Matroids
• On the Number of Combinatorial Geometries